Abstract

The response of the system of the charged edge dislocations and the surrounding charge clouds in ionic crystals to the applied electric field is calculated in the linear approximation. It is assumed that there is only one type of movable charged point defects, and the motion of them are described by a hydro-dynamic equation. As for the motion of the dislocations, the string model is adopted and only electric interaction between the dislocation and point defects is considered. From this model, the displacement of the dislocation caused by the applied electric field, the effective field that the dislocation senses and the polarization of the system are obtained. The calculation can explain the value of piezo-electric modulus due to charged dislocations obtained experimentally. It is also shown that Q-value and compliance defect can be explained by the calculation for the stress field case.

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